Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3937/313,1254/1075
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 3937,1254
Greatest Common Factor of Numerators i.e. GCF of 3937,1254 is 1 .
LCM of Denominators means LCM of 313,1075 as per the given fractions.
LCM of 313,1075 is 336475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3937,1254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3937
List of positive integer factors of 3937 that divides 3937 without a remainder.
1,31,127,3937
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Greatest Common Factor
We found the factors 3937,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,1254 is 1.
Lets's calculate LCM of 313,1075
Given numbers has no common factors except 1. So, there LCM is their product i.e 336475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336475
Therefore, the GCF of Fractions 3937/313,1254/1075 is 1/336475
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 313,1075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,1075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,1075) x common factors =1 x 1 = 1
LCM(313,1075) = ( 313 × 1075 ) / 1
LCM(313,1075) = 336475 / 1
LCM(313,1075) = 336475
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 3937/313, 1254/1075?
Answer: GCF of Numerators as per given numbers 3937/313, 1254/1075 is
GCF of Numerators i.e. for 3937,1254 is 1
LCM of denominators i.e. for 313,1075 is 336475.
Thus, GCF of Fractions is 1/336475.Finally, GCF of Fractions for 3937/313, 1254/1075 is 1/336475.